java - Calculate Earth convex hull polygon area given latitude and longitude -


i have searched explanations , algorhitms how calculate earth's polygon surface area. i've found this , this
lets got convex hull points
[56.992666,24.126051], [58.00282,25.930147], [58.787955,25.565078], [59.4997,24.861427], [59.463678,24.711365], [59.395767,24.599837], [56.992666,24.126051]

from second link first answers uses python library , second answer approach won't give quite precise area if assume earth sphere (am right)? approaches take calculating area (less expensive) if assume earth sphere?

in addition, have looked different libraries (geotools.org etc) haven't found in documentation area calculation.

the algorithm finding area of polygon on sphere can found here: http://forum.worldwindcentral.com/showthread.php?t=20724

you use nasa jpl paper algorithms: http://trs-new.jpl.nasa.gov/dspace/bitstream/2014/40409/1/07-03.pdf


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